Monotonicity preserving representations of non-polynomial surfaces
نویسندگان
چکیده
منابع مشابه
Monotonicity - preserving uncertainty quantification
The need for accurate resolution of shock waves in Computational Fluid Dynamics (CFD) is a major driver in the development of robust numerical methods for approximating discontinuities. The Local Extremum Diminishing (LED) robustness concept has, for example, been introduced into the Finite Volume Method (FVM) for preventing overshoots at discontinuities (Jameson 1993). However, LED schemes hav...
متن کاملMonotonicity preserving interpolatory subdivision schemes
A class of local nonlinear stationary subdivision schemes that interpolate equidistant data and that preserve monotonicity in the data is examined. The limit function obtained after repeated application of these schemes exists and is monotone for arbitrary monotone initial data. Next a class of rational subdivision schemes is investigated. These schemes generate limit functions that are continu...
متن کاملPreserving monotonicity in anisotropic diffusion
We show that standard algorithms for anisotropic diffusion based on centered differencing (including the recent symmetric algorithm) do not preserve monotonicity. In the context of anisotropic thermal conduction, this can lead to the violation of the entropy constraints of the second law of thermodynamics, causing heat to flow from regions of lower temperature to higher temperature. In regions ...
متن کاملMonotonicity-Preserving Linear Multistep Methods
In this paper we provide an analysis of monotonicity properties for linear multistep methods. These monotonicity properties include positivity and the diminishing of total variation. We also pay particular attention to related boundedness properties such as the total variation bounded (TVB) property. In the analysis the multistep methods are considered in combination with suitable starting proc...
متن کاملMonotonicity–preserving Interproximation of B-H-Curves
B-H–curves are used for modeling ferromagnetic materials in connection with electromagnetic field computations. Starting from real–life measurement data, we present an approximation technique which is based on the use of spline functions and a data–dependent smoothing functional. It preserves physical properties, such as monotonicity, and is robust with respect to noise in the measurements.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2010
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.09.045